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Finding the Third Proportional to 575,428.50 and 861,414.75

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Solution

The third proportional to 575,428.50 and 861,414.75 is: 1,289,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,428.50 : 861,414.75 = 861,414.75 : x
  2. Step 2: Convert to fraction form
    575,428.50/861,414.75 = 861,414.75/x
  3. Step 3: Cross multiply
    575,428.50x = 861,414.75 × 861,414.75
  4. Step 4: Simplify right side
    575,428.50x = 742,035,371,517.56
  5. Step 5: Solve for x
    x = 742,035,371,517.56/575,428.50
  6. Step 6: Final answer
    x = 1,289,535.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.